RD Sharma Solutions Class 12 Differentials Errors And Approximations

RD Sharma Solutions Class 12 Chapter 14

Let \(y=f(x)\) be a function of x, and let \Delta x be a small change in x and \(\Delta y\)  be the corresponding change in y. Then,

\(\Delta y=dy/dx\, \Delta x\) approximately

dy/dx \Delta x is termed as differential of y and is denoted by \(dy\)

Some of the useful result on differentials

  • If \(f(x)\) is a constant function, then its differential is zero.
  • If \(y=cu\), then \(dy=c\, du\), \(c\) is a constant.

Now explore in depth about Differentials, Errors and Approximations through RD Sharma solutions that is provided in the below section.

Differentials, Errors and Approximations Class 12th RD Sharma Exercises
Differentials, Errors and Approximations Exercise 14.1

Practise This Question

Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x + y + z = 10. Then the probability that z is even is ?